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math.DS2022
Positivity and discretization of Fredholm integral operators
Magdalena Nockowska-Rosiak, Christian Pötzsche
We provide sufficient conditions for vector-valued Fredholm integral operators and their commonly used spatial discretizations to be positive in terms of an order relation induced…
math.DS2022
Numerical dynamics of integrodifference equations: Hierarchies of invariant bundles in
Christian Pötzsche
We study how the "full hierarchy" of invariant manifolds for nonautonomous integrodifference equations on the Banach spaces of -integrable functions behaves under spatial discre…
math.DS2022★ 2 cited
Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions
Huy Huy, Peter E. Kloeden, Christian Pötzsche
In theoretical ecology, models describing the spatial dispersal and the temporal evolution of species having non-overlapping generations are often based on integrodifference equati…